SOLUTION: One number is 6 more than another. The quotient of the smaller divided by the larger is 4/7. What is the sum of the 2 numbers?

Question 883450: One number is 6 more than another. The quotient of the smaller divided by the larger is 4/7. What is the sum of the 2 numbers?

Found 3 solutions by josgarithmetic, stanbon, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
numbers are x and x+6.
.

You want the sum of the two numbers, so first find x, the smaller number; and then sum the two numbers.

LCD is 7(x+6).

.

The other number is .
Sum of 8 and 14.........!
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
One number is 6 more than another. The quotient of the smaller divided by the larger is 4/7. What is the sum of the 2 numbers?
----------------
Equations:
x - y = 6
---------
x/y = 4/7
------------
Substitute for "x" and solve for "y":
(y+6)/y = 4/7
7y + 42 = 4y
3y = -42
y = -14
---------
Solve for "x":
x - y = 6
x = 6-14
x = -8
------------------
Cheers,
Stan H.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

One number is 6 more than another. The quotient of the smaller divided by the larger is 4/7. What is the sum of the 2 numbers?

Smaller number:
Larger number:
You can do the check!!
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